Finding the Fourth Proportional to 1,523,560,401,566.10, 2,102,513,697,349.80 and 838,448,127,524.17
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Solution
The fourth proportional to 1,523,560,401,566.10, 2,102,513,697,349.80 and 838,448,127,524.17 is: 1,157,058,604,847.43
Step by Step Solution
- Step 1: Write the proportion equation
1,523,560,401,566.10 : 2,102,513,697,349.80 = 838,448,127,524.17 : x - Step 2: Convert to fraction form
1,523,560,401,566.10/2,102,513,697,349.80 = 838,448,127,524.17/x - Step 3: Cross multiply
1,523,560,401,566.10x = 2,102,513,697,349.80 × 838,448,127,524.17 - Step 4: Simplify right side
1,523,560,401,566.10x = 1,762,848,672,636,859,402,158,080 - Step 5: Solve for x
x = 1,762,848,672,636,859,402,158,080/1,523,560,401,566.10 - Step 6: Final answer
x = 1,157,058,604,847.43
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.